35973072 has 100 divisors (see below), whose sum is σ = 106813476. Its totient is φ = 11681280.

The previous prime is 35973053. The next prime is 35973083. The reversal of 35973072 is 27037953.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 15397776 = 4536^2 + 3924^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52798 + ... + 53474.

Almost surely, 2^35973072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35973072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53406738).

35973072 is an abundant number, since it is smaller than the sum of its proper divisors (70840404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35973072 is a wasteful number, since it uses less digits than its factorization.

35973072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 35973072 is about 5997.7555802150. The cubic root of 35973072 is about 330.1103763011.

The spelling of 35973072 in words is "thirty-five million, nine hundred seventy-three thousand, seventy-two".